Mathematical Sciences: Systems of Degenerate Partial Differential Equations of Ellipitic-Parabolic Type

数学科学：椭圆抛物型简并偏微分方程组

• 批准号: 9101382
• 负责人: Xiangsheng Xu
• 金额: $ 3.41万
• 依托单位: University of Arkansas
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-06-01 至 1993-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9101382&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Systems; Degenerate; Partial

This project will analyse systems of nonlinear degenerate partial differential equations of elliptic-parabolic type which arise in modelling the combined flow of heat and electric current in a metallic conductor, the welding of metal sheets, and biological groups the dispersal of avoid crowding. Recent findings indicate that the existence assertion for these systems is closely tied to the size of the sets where the equations involved become degenerate. Equations in which the degeneracy causes the appearance of two free boundaries will also be studied.

这个项目将分析非线性退化系统 椭圆抛物型偏微分方程 在模拟热和电流的组合流动时出现 在金属导体中，金属片的焊接，以及 生物群体的分散避免拥挤。 最近 研究结果表明，这些系统的存在断言， 与集合的大小密切相关， 参与者会变得堕落。 其中简并 导致出现两个自由边界， 研究了